Advanced Statistical Mechanics - Wang, Jian-Sheng (National University of Singapore, Singapore) - 書籍 - World Scientific Publishing Co Pte Ltd - 9789811242144 - 2021年11月30日
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Wang, Jian-Sheng (National University of Singapore, Singapore)
Advanced Statistical Mechanics

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This short textbook covers roughly 13 weeks of lectures on advanced statistical mechanics at the graduate level. It starts with an elementary introduction to the theory of ensembles from classical mechanics, and then goes on to quantum statistical mechanics with density matrix. These topics are covered concisely and briefly. The advanced topics cover the mean-field theory for phase transitions, the Ising models and their exact solutions, and critical phenomena and their scaling theory. The mean-field theories are discussed thoroughly with several different perspectives - focusing on a single degree, or using Feynman-Jensen-Bogoliubov inequality, cavity method, or Landau theory. The renormalization group theory is mentioned only briefly. As examples of computational and numerical approach, there is a chapter on Monte Carlo method including the cluster algorithms. The second half of the book studies nonequilibrium statistical mechanics, which includes the Brownian motion, the Langevin and Fokker-Planck equations, Boltzmann equation, linear response theory, and the Jarzynski equality. The book ends with a brief discussion of irreversibility. The topics are supplemented by problem sets (with partial answers) and supplementary readings up to the current research, such as heat transport with a Fokker-Planck approach.

メディア 書籍     Hardcover Book   (ハードカバー付きの本)
リリース済み 2021年11月30日
ISBN13 9789811242144
出版社 World Scientific Publishing Co Pte Ltd
ページ数 224
寸法 152 × 229 × 14 mm   ·   471 g
言語 英語  

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